What is ((sqrt(x-5)+10))/((x+sqrt(5-x))) ?

The solution to ((sqrt(x-5)+10))/((x+sqrt(5-x))) is ((sqrt(x-5)+10)(x-sqrt(5-x)))/(x^2-5+x)

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simplify ((sqrt(x-5)+10))/((x+sqrt(5-x)))

simplify

\frac{( x - 5 + 10 )}{( x + 5 - x )}

\frac{( x - 5 + 10 ) ( x - 5 - x )}{x ^{2} - 5 + x}

Solution steps

\frac{x - 5 + 10}{x + 5 - x}

Multiply by the conjugate

\frac{x - 5 - x}{x - 5 - x}

= \frac{( x - 5 + 10 ) ( x - 5 - x )}{( x + 5 - x ) ( x - 5 - x )}

(x + 5 - x) (x - 5 - x) = x^{2} - 5 + x

= \frac{( x - 5 + 10 ) ( x - 5 - x )}{x ^{2} - 5 + x}

8 x^{3} y - 32 x^{2} y + 32 x y

x^{4} + 31 x^{2} y^{2} + 400 y^{4}

- 10 m^{5} n^{6} x^{4} y^{7} - 12 m^{5} n^{6} x^{7} y^{4}

4^{x} + 2 \cdot 2^{x} - 80

(\frac{240 m}{0.54}) + 2

What is ((sqrt(x-5)+10))/((x+sqrt(5-x))) ?
The solution to ((sqrt(x-5)+10))/((x+sqrt(5-x))) is ((sqrt(x-5)+10)(x-sqrt(5-x)))/(x^2-5+x)